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TECHNICAL UNIVERSITY OF LÓDŹ Volume 7 Number 1, 2004 Mechanics and Mechanical Engineering Editor in Chief: Tomasz Kapitaniak Lódź, Poland MECHANICS AND MECHANICAL ENGINEERING International Journal Editor in chief – Tomasz Kapitaniak Mechanics and Mechanical Engineering Editorial Office Division of Dynamics, Technical University of Lódź 90-924 Lódź, Poland, Tel. (48 42) 636 68 22 Editorial board J. Brindley – Leeds W. Kaniewski – Lódź Z. Kazimierski – Lódź M. Królak – Lódź K. Li – Michigan J. Manevich – Dniepropetrovsk A. Nayfeh – Blacksburg M. S. El Naschie – Cambridge W. Ostachowicz – Gdask Z. Peradzyński – Warsaw B. Skalmierski – Czȩstochowa W.-H. Steeb – Johannesburg C. Szczepaniak – Lódź A. Tylikowski – Warsaw K. E. Thylwe – Stockholm M. Wiercigroch – Aberdeen Editorial Secretary: I. Slowianek Scope of the journal Mechanics and Mechanical Engineering publishes original papers, notes, and invited review articles from all fields of theoretical and applied mechanics as well as mechanical engineering. In addition to the classical fields, such as Rigid Body Dynamics, Elasticity, Plasticity, Hydrodynamics and Gas Dynamics, it gives special attention to recently developed and boundary areas of mechanics. As a rule, only contributions written in English will be accepted. Copyright Tomasz Kapitaniak, 2002-2004 Submission of manuscript implies: that the work described has not been published before (except in the form of an abstract or as part of a published lecture, review, or thesis); that is not under consideration for publication elsewhere; that its publication has been approved by all coauthors, if any, as well as by the responsible authorities at the institute where the work has been carried out; that, if, and when the manuscript is accepted for publication, by authors agree to automatic transfer of the copyright to the publisher; and that the manuscript will not be published elsewhere in any language without consent of the copyright holders. 1 CONTENTS N.T.M. ELDABE, A.A. HASSAN and MONA A.A. MOHAMED Effect of Couple Stresses on a Pulsatile Magnetohydrodynamic Viscoelastic Flow Through aA Channel Bounded by Two Permeable Parallel Plates 5 Mieczyslaw JARONIEK Models of the Fracture Harmonic Vibration of the Multi-Layered Composites 15 Ahmed E. RADWAN, Samia S. ELAZAB and Seham A. MOSTAFA Magnetohydrodynamic Axisymmetric Oscillation of Bounded Hollow Jet 23 Danuta SADO The Dynamics of a Coupled Three Degree of Freedom Mechanical System 29 Mohamed I.A. OTHMAN On the possibility of overstable motion of a rotating viscoelastic fluid layer heated from below under the effect of magnetic field with one relaxation time 41 Krzysztof MARYNOWSKI and Zbigniew KOLAKOWSKI Dynamic Stability of an Axially Moving Sandwich Composite Web 53 Yusry O. EL-DIB Stability of self-resonance mechanisms in nonlinear interaction between two primary harmonic waves 69 Wlodzimierz WAWSZCZAK, Zygmunt TOWAREK, Bogdan JAGIELLO Methodology of the Stepper Motor Rotational Motion Investigations 87 Marian KRÓLAK, Zbigniew KOLAKOWSKI Buckling and Initial Post-Buckling Behaviour of Thin-Walled Elliptic Shells under Bending 97 Mourad F. DIMIAN Effect of the Magnetic Field on Forced Convection Flow Along a Wedge with Variable Viscosity 107 2 S.A. EL-KHOLY The Exact Solution of Nonlinear Stress-Free Convection Under the Influence of Magnetic Fields 121 Abd Alla EL-MARHOMY Stability Analysis of Rotor-Bearing Systems via Routh-Hurwitz Criterion 133 Ahmed E. RADWAN and Helmy A. RADWAN Capillary Instability of Fluid Cylinder Under the Effect of Transverse Varying Electric Field 153 Zbyszko KAZIMIERSKI Uwagi krytyczne o publikacji Jerzego Prywera w Zeszytach Naukowych Politechniki Lódzkiej, Nr 916, Rozprawy Naukowe, z. 317, maj 2003 r., pt. ,,Wplyw parametrów konstrukcyjnych rozpylaczy strumieniowo-wirowych na ich wlaściwości” 161 Jerzy PRYWER Odpowiedź na uwagi krytyczne prof. dr. hab. in. Zbyszko Kazimierskiego, dotycza̧ce pracy pt. ,,Wplyw parametrów konstrukcyjnych rozpylaczy strumieniowo-wirowych na ich wlaciwości” 165 3